English

Binary normal regular Hermitian lattices over imaginary quadratic fields

Number Theory 2008-09-04 v2

Abstract

We call a positive definite Hermitian lattice regular if it represents all integers which can be represented locally by the lattice. We investigate binary regular Hermitian lattices over imaginary quadratic fields Q(m)\mathbb{Q}(\sqrt{-m}) and provide a complete list of the (normal) Hermitian lattices.

Keywords

Cite

@article{arxiv.0710.4998,
  title  = {Binary normal regular Hermitian lattices over imaginary quadratic fields},
  author = {Byeong Moon Kim and Ji Young Kim and Poo-Sung Park},
  journal= {arXiv preprint arXiv:0710.4998},
  year   = {2008}
}

Comments

26 pages

R2 v1 2026-06-21T09:36:41.310Z